Existence and Scattering for Solutions to Semilinear Wave Equations on High Dimensional Hyperbolic Space
We prove small-data global existence to semi-linear wave equations on hyperbolic space of dimension greater than or equal to three, for nonlinearities that have the form of a sufficiently high integer power of the solution. We also prove the existence and asymptotic completeness of wave operators in this setting.
math.AP↗